243115 ÷ 42 
The aim is to understand the frequency of 42 in 243115.

Step 1:
If we divide 2 by 42, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 42

Let's proceed to step 2:
42 goes into 24 0 times with a remainder of 24.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 24, we end up with 24.
Fetch the next digit (3) from the dividend, attach it to 24 and continue: 243 / 42

Moving on to step 3:
The number 42 fits into 243 5 times, leaving a remainder of 33.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 210 from 243 to get 33.
Fetch the next digit (1) from the dividend, attach it to 33 and continue: 331 / 42

Moving on to step 4:
331 divided by 42 is 7 with a remainder of 37.
Write down 7 as next digit of the result. 
Result so far: 57.0
The remainder is 37 after subtracting 294 from 331.
Grab the next digit (1) from the dividend, add it to 37, then carry on: 371 / 42

Going ahead to step 5:
When dividing 371 by 42, we get 8 with a remainder of 35.
Record the quotient 8 as the next digit in the result. 
Result so far: 578.0
If we subtract 336 from 371, we get 35.
Grab the next digit (5) from the dividend, add it to 35, then carry on: 355 / 42

Step 6:
42 goes into 355 8 times with a remainder of 19.
The next digit of our result is 8. 
Result so far: 5788.0
Subtract 336 from 355 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
If we divide 190 by 42, we get 4 and a remainder of 22.
Write down 4 as next digit of the result. 
Result so far: 5788.4
If we take 168 away from 190, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 8:
When dividing 220 by 42, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 5788.45
Subtracting 210 from 220 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
When dividing 100 by 42, we get 2 with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 5788.452
Subtract 84 from 100 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 10:
160 divided by 42 is 3 with a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 5788.4523
If we take 126 away from 160, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 11:
If we divide 340 by 42, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 5788.45238
The remainder is 4 after subtracting 336 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 12:
The number 42 fits into 40 0 times, leaving a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 5788.45238
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 13:
If we divide 400 by 42, we get 9 and a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 5788.4523809
If we take 378 away from 400, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 14:
If we divide 220 by 42, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 5788.45238095
If we take 210 away from 220, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 5788.45238095 and a remainder of 1e-08.